What was the Won-Loss record of the University of Nebraska football
team under coach Tom Osborne in its games with the University of
Texas?

Hello.

The Cornhuskers' won-loss record under Tom Osborne against Texas was 1-1.

Osborne coached at Nebraska from 1973 to 1997.

Luckily, there's a web page with a complete list of the Cornhuskers'
games from 1973 to 1998.
http://sharkfeet.tripod.com/1973to1998schedules.htm

As indicated on that page, Nebraska beat Texas 19-3 on January 1,
1974, and lost to Texas 37-27 on December 7, 1996.

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search strategy:
nebraska "tom osborne"
cornhuskers 1973 1974 1975 texas osborne

I hope this helps.

There is an intersting site called the "Huskerpedia" at http://www.huskerpedia.com/
It breaks down Nebraska's football history by opponant as well as by
many other criteria -

For texas, you can see all games played at:
http://www.huskerpedia.com/games/texas.html